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Finding the Fourth Proportional to 21,176.54, 31,752.51 and 12,393

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Solution

The fourth proportional to 21,176.54, 31,752.51 and 12,393 is: 18,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.54 : 31,752.51 = 12,393 : x
  2. Step 2: Convert to fraction form
    21,176.54/31,752.51 = 12,393/x
  3. Step 3: Cross multiply
    21,176.54x = 31,752.51 × 12,393
  4. Step 4: Simplify right side
    21,176.54x = 393,508,809.96
  5. Step 5: Solve for x
    x = 393,508,809.96/21,176.54
  6. Step 6: Final answer
    x = 18,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.